Question

Please see attachment below

Answer 1

`a. \: \: {2}^(1) \\ b. \: \: {2}^(3)`

Explanation:

`a. \: \: \frac{16 * {2}^(3) }{64} \\ \frac{ {2}^(4) * {2}^(3) }{ {2}^(6) } \\ \frac{ {2}^(4 + 3) }{ {2}^(6) } \\ \frac{ {2}^(7) }{ {2}^(6) } \\ {2}^(7 - 6) \\ {2}^(1) \\`

`b. \: \: 64 / {2}^(3) \\ {2}^(6) / {2}^(3) \\ {2}^(6 - 3) \\ {2}^(3)`

Answer 2

a) 2^1

b) 2^3

Explanation:

a) (16*2^3)/64=(2^4*2^3)/2^6=2^(4+3-6)=2^1

b) 64/2^3=2^6/2^3=2^(6-3)=2^3